What is the Greatest Common Factor of 22661 and 22669?

Greatest common factor (GCF) of 22661 and 22669 is 1.

GCF(22661,22669) = 1

We will now calculate the prime factors of 22661 and 22669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22661 and 22669.

How to find the GCF of 22661 and 22669?

We will first find the prime factorization of 22661 and 22669. After we will calculate the factors of 22661 and 22669 and find the biggest common factor number .

Step-1: Prime Factorization of 22661

Prime factors of 22661 are 17, 31, 43. Prime factorization of 22661 in exponential form is:

22661 = 17¹ × 31¹ × 43¹

Step-2: Prime Factorization of 22669

Prime factors of 22669 are 22669. Prime factorization of 22669 in exponential form is:

22669 = 22669¹

Step-3: Factors of 22661

List of positive integer factors of 22661 that divides 22661 without a remainder.

1, 17, 31, 43, 527, 731, 1333

Step-4: Factors of 22669

List of positive integer factors of 22669 that divides 22661 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22661 and 22669. The biggest common factor number is the GCF number.
So the greatest common factor 22661 and 22669 is 1.

Also check out the Least Common Multiple of 22661 and 22669